Fully compensated ferrimagnets possess the advantages of both collinear compensated net magnetic moments and nonrelativistic spin splitting in which the nonvolatile control is a prerequisite for realizing the spintronic nanodevices. The A-type antiferromagnetic MXene is a potential candidate for the fully compensated ferrimagnet with intralayer ferromagnetic and interlayer antiferromagnetic ordering. Based on first-principles calculations and Monte Carlo simulations, we demonstrate that the two-dimensional $\mathrm{C}{\mathrm{r}}_2{\mathrm{O}}_3$ monolayer MXene is an antiferromagnetic semiconductor with a Néel temperature close to room temperature (260.2 K). By breaking symmetries between sublattices through applying an electric field or constructing ferroelectric heterostructure, we successfully tune the system into a fully compensated ferrimagnetic state, which can be detected via the magnetooptical Kerr effect. Notably, the electric-field and the nonvolatile ferroelectric control enable the promising applications of magnetic MXene in low-dimensional spintronic devices.

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• Electronic structure
• Ferroelectricity
• Magnetic anisotropy
• Magnetic order
• Magneto-optical Kerr effect
• Spintronics
• 2-dimensional systems
• Ferrimagnets
• First-principles calculations